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Maths MCQ

Playing with numbers · Maharashtra Board STD 6 (MSBSHSE - English Medium). 53 questions.

Questions · Page 2 of 2

MCQ

MCQ 511 Mark
Mark the correct alternative in the following : What least value should be given to $*$ so that the number $915*26$ is divisible by $9$?
  • A
    $1$
  • ✓
    $4$
  • C
    $2$
  • D
    $6$
Answer
Correct option: B.
$4$
A number is divisible by $9$ if the sum of its digits is a multiple of $9$.
Sum of the given digits $= 9 + 1 + 5 + 2 + 6 = 23$
We know that multiple of $9$ greater than $23$ is $27$.
$\therefore 27 - 23 = 4$
Hence, the smallest required digit is $4$.
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MCQ 521 Mark
Mark the correct alternatiue in the following : Three numbers are in the ratio $\{1 : 2 : 3\}$ and their $\text{HCF}$ is $6,$ the numbers are :
  • A
    $\{4, 8, 12\}$
  • B
    $\{5,1 0, 15\}$
  • ✓
    $\{6, 12, 18\}$
  • D
    $\{10, 20, 30\}$
Answer
Correct option: C.
$\{6, 12, 18\}$
Three numbers are $1\times \text{HCF}, 2 \times \text{HCF},$ and $3 \times \text{HCF},$
i.e. $1 \times 6 = 6, 2 \times 6 = 12,$ and $3 \times 6 = 18$.
Thus, the numbers are $\{6, 12, 18\}$.
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MCQ 531 Mark
Mark the correct alternative in the following: Which of the following numbers is divisible by $11?$
  • A
    $1111111$
  • ✓
    $22222222$
  • C
    $3333333$
  • D
    $4444444$
Answer
Correct option: B.
$22222222$
In $2,22,22,222,$ the difference of the sum of alternate digits $2 + 2 + 2 + 2 = 8$ and $2 + 2 + 2 +2 = 8$ is zero.
Hence, the number is divisible by $11.$
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